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Finding the Fourth Proportional to 816.58, 1,223.91 and 523.70

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Solution

The fourth proportional to 816.58, 1,223.91 and 523.70 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.58 : 1,223.91 = 523.70 : x
  2. Step 2: Convert to fraction form
    816.58/1,223.91 = 523.70/x
  3. Step 3: Cross multiply
    816.58x = 1,223.91 × 523.70
  4. Step 4: Simplify right side
    816.58x = 640,961.67
  5. Step 5: Solve for x
    x = 640,961.67/816.58
  6. Step 6: Final answer
    x = 784.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.